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131012325 = 32521813217
BaseRepresentation
bin1111100111100…
…01011011100101
3100010112010010100
413303301123211
5232014343300
621000014313
73150405063
oct763613345
9303463110
10131012325
1167a53554
1237a61399
13211b14b2
1413585033
15b77d700
hex7cf16e5

131012325 has 36 divisors (see below), whose sum is σ = 236027428. Its totient is φ = 69465600.

The previous prime is 131012317. The next prime is 131012327. The reversal of 131012325 is 523210131.

It can be written as a sum of positive squares in 6 ways, for example, as 7935489 + 123076836 = 2817^2 + 11094^2 .

It is not a de Polignac number, because 131012325 - 23 = 131012317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012298 and 131012307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39117 + ... + 42333.

Almost surely, 2131012325 is an apocalyptic number.

131012325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131012325 is a deficient number, since it is larger than the sum of its proper divisors (105015103).

131012325 is a wasteful number, since it uses less digits than its factorization.

131012325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131012325 is about 11446.0615497209. The cubic root of 131012325 is about 507.8912349554.

Adding to 131012325 its reverse (523210131), we get a palindrome (654222456).

The spelling of 131012325 in words is "one hundred thirty-one million, twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 181 225 543 905 1629 2715 3217 4525 8145 9651 13575 16085 28953 40725 48255 80425 144765 241275 582277 723825 1746831 2911385 5240493 8734155 14556925 26202465 43670775 131012325